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aryabhata ii wikipedia jump to content main menu main menu move to sidebar hide navigation main page contents current events random article about wikipedia contact us contribute help learn to edit community portal recent changes upload file special pages search search appearance donate create account log in personal tools donate create account log in contents move to sidebar hide top 1 maha siddhanta 2 other contributions to maths 3 references 4 further reading toggle the table of contents aryabhata ii 14 languages অসমীয়া भोजपुरी català deutsch فارسی galego हिन्दी മലയാളം नेपाली नेपाल भाषा ਪੰਜਾਬੀ română தமிழ் తెలుగు edit links article talk english read edit view history tools tools move to sidebar hide actions read edit view history general what links here related changes upload file permanent link page information cite this page get shortened url switch to legacy parser print export download as pdf printable version in other projects wikidata item appearance move to sidebar hide from wikipedia the free encyclopedia indian mathematician and astronomer 920 1000 āryabhaṭa ii c 920 c 1000 1 was an indian mathematician and astronomer and the author of the maha siddhanta the numeral ii is given to him to distinguish him from the earlier and more influential āryabhaṭa i scholars are unsure of when exactly he was born though david pingree dates of his main publications between 950 1100 1 2 the manuscripts of his maha siddhanta have been discovered from gujarat rajasthan uttar pradesh and bengal so he probably lived in northern india 2 maha siddhanta edit aryabhata wrote maha siddhanta also known as arya siddhanta not to be confused with the aryabhata siddhanta of aryabhata i sanskrit language work containing 18 chapters it summarizes a lost work attributed to parashara and is probably based on shridhara s work 2 the initial twelve chapters deal with topics related to mathematical astronomy and cover the topics that indian mathematicians of that period had already worked on the various topics that have been included in these twelve chapters are the longitudes of the planets lunar and solar eclipses the estimation of eclipses the lunar crescent the rising and setting of the planets association of the planets with each other and with the stars the next six chapters of the book includes topics such as geometry geography and algebra which were applied to calculate the longitudes of the planets in about twenty verses in the treatise he gives elaborate rules to solve the indeterminate equation by ax c these rules have been applied to a number of different cases such as when c has a positive value when c has a negative value when the number of the quotients is an even number when this number of quotients is an odd number etc other contributions to maths edit aryabhata ii also deduced a method to calculate the cube root of a number but his method was already given by aryabhata i many years earlier indian mathematicians were very keen to give the correct sine tables since they played a vital role to calculate the planetary positions as accurately as possible aryabhata ii played a vital role in it by constructing a sine table which was accurate up to five decimal places references edit 1 2 aryabhata ii biography maths history university of st andrews retrieved 16 july 2022 1 2 3 david pingree ed 1970 census of the exact sciences in sanskrit series a vol 1 american philosophical society p 53 o connor john j robertson edmund f aryabhata ii mactutor history of mathematics archive university of st andrews further reading edit vagiswari a 2007 āryabhaṭa ii in thomas hockey et al eds the biographical encyclopedia of astronomers new york springer p 64 isbn 978 0 387 31022 0 pdf version v t e indian mathematics mathematicians ancient apastamba baudhayana katyayana manava pāṇini pingala yajnavalkya classical āryabhaṭa i āryabhaṭa ii bhāskara i bhāskara ii melpathur narayana bhattathiri brahmadeva brahmagupta govindasvāmi halayudha jyeṣṭhadeva kamalakara mādhava of saṅgamagrāma mahāvīra mahendra sūri munishvara narayana parameshvara achyuta pisharati jagannatha samrat nilakantha somayaji śrīpati sridhara gangesha upadhyaya varāhamihira sankara variar virasena modern srinivasa ramanujan satyendra nath bose p c mahalanobis subrahmanyan chandrasekhar c r rao veeravalli s varadarajan s r srinivasa varadhan k r parthasarathy probabilist m s narasimhan c s seshadri harish chandra subbayya sivasankaranarayana pillai tilak raj prabhakar manjul bhargava akshay venkatesh ravi vakil kannan soundararajan shanti swarup bhatnagar prize recipients in mathematical science treatises aryabhatiya bakhshali manuscript bijaganita brāhmasphuṭasiddhānta ganita kaumudi grahalaghava kanakkusaram karanapaddhati līlāvatī lokavibhaga pātīgaṇita paulisa siddhanta paitamaha siddhanta romaka siddhanta sadratnamala siddhānta shiromani śulba sūtras surya siddhanta tantrasamgraha vasishtha siddhanta veṇvāroha yuktibhāṣā yavanajataka pioneering innovations brahmi numerals hindu arabic numeral system symbol for zero 0 infinite series expansions for the trigonometric functions centres kerala school of astronomy and mathematics jantar mantar jaipur new delhi ujjain varanasi historians of mathematics bapudeva sastri 1821 1900 shankar balakrishna dikshit 1853 1898 sudhakara dvivedi 1855 1910 m rangacarya 1861 1916 p c sengupta 1876 1962 b b datta 1888 1958 t hayashi a a krishnaswamy ayyangar 1892 1953 a n singh 1901 1954 c t rajagopal 1903 1978 t a saraswati amma 1918 2000 s n sen 1918 1992 k s shukla 1918 2007 k v sarma 1919 2005 translators walter eugene clark henry thomas colebrooke david pingree other regions babylon china greece islamic mathematics europe modern institutions indian statistical institute bhaskaracharya pratishthana chennai mathematical institute institute of mathematical sciences indian institute of science harish chandra research institute homi bhabha centre for science education ramanujan institute for advanced study in mathematics tifr v t e indian astronomy astronomers classical period apastamba aryabhata ii aryabhata baudhayana bhāskara i bhāskara ii brahmagupta gautama siddha katyayana lagadha lalla mahavira manava varahamihira vasistha utpala yajnavalkya middle age achyuta pisharati jagannatha samrat jai singh ii jyesthadeva kamalakara madhava of sangamagrama mahendra suri parameshvara shankara variyar sripati later age amil kumar das bapudeva sastri govind swarup j j rawal jayant narlikar m k das gupta megh nad saha nilakantha somayaji p devadas pathani samanta prasanta chandra mahalanobis radhagobinda chandra sandip chakrabarti subrahmanyan chandrasekhar vainu bappu venkatraman radhakrishnan works brahmanas aitareya brahmana shatapatha brahmana siddhantas brāhmasphuṭasiddhānta maha siddhanta pancha siddhantika paulisa siddhanta paitamaha siddhanta romaka siddhanta surya siddhanta vasishtha siddhanta vedas atharvaveda rigveda others aryabhatiya bṛhat saṃhitā ganitagannadi jyotirmimamsa kaiyuan observations khandakhadyaka mahādevī makarandasarini panchangam shulba sutras tantrasangraha vākyakaraṇa vedanga jyotisha yavanajataka zij instruments armillary sphere astrolabe celestial globe compass cross staff dioptra equatorial ring equatorial sundial globe gnomon mural instrument quadrant sextant sundial triquetrum water clock yantraraja concepts astrological sign axial tilt azimuth cardinal direction celestial equator celestial sphere celestial spheres center of mass circular orbit deferent and epicycle earth s rotation ecliptic elliptic orbit equant geocentrism geoheliocentrism globe gravity heliocentrism hindu units of time jyotiṣa kali ahargaṇa kalpa karana manvantara moonlight nakshatra nityayoga orbital eccentricity parallax precession ritu spherical earth sunlight tithi vāra yuga centres birla planetarium chennai hyderabad kolkata jantar mantar jaipur new delhi ujjain varanasi kerala school of astronomy and mathematics other regions babylonian chinese european greek islamic hindu calendar months chaitra vaisakha jyeshtha ashadha shravana bhadrapada ashvin kartik margashirsha pausha magha phalguna authority control databases international isni 2 viaf gnd worldcat national united states france bnf data israel academics zbmath mathscinet people deutsche biographie other idref retrieved from https en wikipedia org w index php title aryabhata_ii oldid 1334581586 categories 10th century indian astronomers 920s births 1000s deaths 10th century indian mathematicians hidden categories articles with short description short description is different from wikidata use dmy dates from july 2019 year of birth uncertain this page was last edited on 24 january 2026 at 11 55 utc page was rendered with parsoid text is available under the creative commons attribution sharealike 4 0 license additional terms may apply by using this site you agree to the terms of use and privacy policy wikipedia is a registered trademark of the wikimedia foundation inc a non profit 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